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4fd800b3a8 2011-02-23        kinaba: #include <iostream>
4fd800b3a8 2011-02-23        kinaba: #include <sstream>
4fd800b3a8 2011-02-23        kinaba: #include <iomanip>
4fd800b3a8 2011-02-23        kinaba: #include <vector>
4fd800b3a8 2011-02-23        kinaba: #include <string>
4fd800b3a8 2011-02-23        kinaba: #include <map>
4fd800b3a8 2011-02-23        kinaba: #include <set>
4fd800b3a8 2011-02-23        kinaba: #include <algorithm>
4fd800b3a8 2011-02-23        kinaba: #include <numeric>
4fd800b3a8 2011-02-23        kinaba: #include <iterator>
4fd800b3a8 2011-02-23        kinaba: #include <functional>
4fd800b3a8 2011-02-23        kinaba: #include <complex>
4fd800b3a8 2011-02-23        kinaba: #include <queue>
4fd800b3a8 2011-02-23        kinaba: #include <stack>
4fd800b3a8 2011-02-23        kinaba: #include <cmath>
4fd800b3a8 2011-02-23        kinaba: #include <cassert>
4fd800b3a8 2011-02-23        kinaba: #include <cstring>
4fd800b3a8 2011-02-23        kinaba: using namespace std;
4fd800b3a8 2011-02-23        kinaba: typedef long long LL;
4fd800b3a8 2011-02-23        kinaba: typedef complex<double> CMP;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: class BatchSystemRoulette { public:
4fd800b3a8 2011-02-23        kinaba: 	vector <double> expectedFinishTimes(vector <int> duration, vector <string> user)
4fd800b3a8 2011-02-23        kinaba: 	{
4fd800b3a8 2011-02-23        kinaba: 		vector<double> answer(duration.begin(), duration.end());
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		map<string, LL> userSum;
4fd800b3a8 2011-02-23        kinaba: 		for(int i=0; i<user.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 			userSum[user[i]] += duration[i];
4fd800b3a8 2011-02-23        kinaba: 		map<LL, vector<string> > usInv;
4fd800b3a8 2011-02-23        kinaba: 		for(map<string,LL>::iterator it=userSum.begin(); it!=userSum.end(); ++it)
4fd800b3a8 2011-02-23        kinaba: 			usInv[it->second].push_back(it->first);
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		double base = 0;
4fd800b3a8 2011-02-23        kinaba: 		for(map<LL, vector<string> >::iterator it=usInv.begin(); it!=usInv.end(); ++it)
4fd800b3a8 2011-02-23        kinaba: 		{
4fd800b3a8 2011-02-23        kinaba: 			LL t = it->first;
4fd800b3a8 2011-02-23        kinaba: 			vector<string>& us = it->second;
4fd800b3a8 2011-02-23        kinaba: 			int n = us.size();
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			double baseAve = base + t*(n-1)/2.0;
4fd800b3a8 2011-02-23        kinaba: 			for(int u=0; u<n; ++u)
4fd800b3a8 2011-02-23        kinaba: 			{
4fd800b3a8 2011-02-23        kinaba: 				vector<int> idxs;
4fd800b3a8 2011-02-23        kinaba: 				for(int i=0; i<answer.size(); ++i)
4fd800b3a8 2011-02-23        kinaba: 					if( user[i] == us[u] ) {
4fd800b3a8 2011-02-23        kinaba: 						answer[i] += baseAve;
4fd800b3a8 2011-02-23        kinaba: 						idxs.push_back(i);
4fd800b3a8 2011-02-23        kinaba: 					}
4fd800b3a8 2011-02-23        kinaba: 				for(int k=0; k<idxs.size(); ++k) {
4fd800b3a8 2011-02-23        kinaba: 					int i = idxs[k];
4fd800b3a8 2011-02-23        kinaba: 					for(int m=0; m<idxs.size(); ++m) if(m!=k) {
4fd800b3a8 2011-02-23        kinaba: 						int j = idxs[m];
4fd800b3a8 2011-02-23        kinaba: 						answer[i] += duration[j]/2.0;
4fd800b3a8 2011-02-23        kinaba: 					}
4fd800b3a8 2011-02-23        kinaba: 				}
4fd800b3a8 2011-02-23        kinaba: 			}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 			base += t*n;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		return answer;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: };
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: // BEGIN CUT HERE
4fd800b3a8 2011-02-23        kinaba: #include <ctime>
4fd800b3a8 2011-02-23        kinaba: double start_time; string timer()
4fd800b3a8 2011-02-23        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
4fd800b3a8 2011-02-23        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
4fd800b3a8 2011-02-23        kinaba:  { os << "{ ";
4fd800b3a8 2011-02-23        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
4fd800b3a8 2011-02-23        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
4fd800b3a8 2011-02-23        kinaba: void verify_case(const vector <double>& Expected, const vector <double>& Received) {
4fd800b3a8 2011-02-23        kinaba:  bool ok = true;
4fd800b3a8 2011-02-23        kinaba:  for(int i=0; i<Expected.size(); ++i)
4fd800b3a8 2011-02-23        kinaba:    if( abs(Expected[i]-Received[i]) >= 1e-9 )
4fd800b3a8 2011-02-23        kinaba:      ok = false;
4fd800b3a8 2011-02-23        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
4fd800b3a8 2011-02-23        kinaba:  cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } }
4fd800b3a8 2011-02-23        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
4fd800b3a8 2011-02-23        kinaba: #define END	 verify_case(_, BatchSystemRoulette().expectedFinishTimes(duration, user));}
4fd800b3a8 2011-02-23        kinaba: int main(){
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: CASE(0)
4fd800b3a8 2011-02-23        kinaba: 	int duration_[] = {3, 2, 4, 1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> duration(duration_, duration_+sizeof(duration_)/sizeof(*duration_));
4fd800b3a8 2011-02-23        kinaba: 	string user_[] = {"Gil Grissom", "Sarah Sidle", "Warrick Brown", "Catherine Willows"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> user(user_, user_+sizeof(user_)/sizeof(*user_));
4fd800b3a8 2011-02-23        kinaba: 	double __[] = {6.0, 3.0, 10.0, 1.0 };
4fd800b3a8 2011-02-23        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(1)
4fd800b3a8 2011-02-23        kinaba: 	int duration_[] = {3, 2, 4, 1};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> duration(duration_, duration_+sizeof(duration_)/sizeof(*duration_));
4fd800b3a8 2011-02-23        kinaba: 	string user_[] = {"mac taylor", "Mac Taylor", "Mac Taylor", "Peyton Driscoll"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> user(user_, user_+sizeof(user_)/sizeof(*user_));
4fd800b3a8 2011-02-23        kinaba: 	double __[] = {4.0, 8.0, 9.0, 1.0 };
4fd800b3a8 2011-02-23        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(2)
4fd800b3a8 2011-02-23        kinaba: 	int duration_[] = {13, 14, 15, 56, 56};
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> duration(duration_, duration_+sizeof(duration_)/sizeof(*duration_));
4fd800b3a8 2011-02-23        kinaba: 	string user_[] = {"Tim Speedle", "Tim Speedle", "Tim Speedle", "Horatio Caine", "YEEEAAAAAAAAAAH"};
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> user(user_, user_+sizeof(user_)/sizeof(*user_));
4fd800b3a8 2011-02-23        kinaba: 	double __[] = {27.5, 28.0, 28.5, 126.0, 126.0 };
4fd800b3a8 2011-02-23        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: /*
4fd800b3a8 2011-02-23        kinaba: CASE(3)
4fd800b3a8 2011-02-23        kinaba: 	int duration_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> duration(duration_, duration_+sizeof(duration_)/sizeof(*duration_));
4fd800b3a8 2011-02-23        kinaba: 	string user_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> user(user_, user_+sizeof(user_)/sizeof(*user_));
4fd800b3a8 2011-02-23        kinaba: 	double __[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: CASE(4)
4fd800b3a8 2011-02-23        kinaba: 	int duration_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <int> duration(duration_, duration_+sizeof(duration_)/sizeof(*duration_));
4fd800b3a8 2011-02-23        kinaba: 	string user_[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <string> user(user_, user_+sizeof(user_)/sizeof(*user_));
4fd800b3a8 2011-02-23        kinaba: 	double __[] = ;
4fd800b3a8 2011-02-23        kinaba: 	  vector <double> _(__, __+sizeof(__)/sizeof(*__));
4fd800b3a8 2011-02-23        kinaba: END
4fd800b3a8 2011-02-23        kinaba: */
4fd800b3a8 2011-02-23        kinaba: }
4fd800b3a8 2011-02-23        kinaba: // END CUT HERE